GCF of 87/95, 120/23, 594/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 87/95, 120/23, 594/497 i.e 3/1085945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/95, 120/23, 594/497.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 87/95,120/23,594/497?
Given fractions are 87/95,120/23,594/497
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 87/95,120/23,594/497, numerators are 87,120,594
Denominators are 95,23,497
The GCF of 87,120,594 is 3 .
LCM of 95,23,497 is 1085945.
The greatest common factor of 87/95,120/23,594/497 = [GCF of 87,120,594]/[LCM of 95,23,497]= 3/1085945
Therefore, the GCF of 87/95,120/23,594/497 is 3/1085945.
To find the highest common factor of 87,120,594, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The HCF of 87,120,594 is 3.
Lets's calculate GCF of 87,120,594
| 3 | 87, 120, 594 |
| 29, 40, 198 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 87,120,594 By Matching Biggest Common Factor Method
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 87,120,594 . The biggest common factor number is the GCF number.
So the greatest common factor 87,120,594 is 3.
Lets's calculate LCM of 95,23,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 1085945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1085945
Therefore, the GCF of Fractions 87/95,120/23,594/497 is 3/1085945
Least Common Multiple of 95,23,497 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 95,23,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,23,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,23,497) x common factors =1 x 1 = 1
LCM(95,23,497) = ( 95 × 23 × 497 ) / 1
LCM(95,23,497) = 1085945 / 1
LCM(95,23,497) = 1085945
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FAQs on GCF of Fractions of 87/95, 120/23, 594/497
1. What is the HCF of 87,120,594?
The HCF of 87,120,594 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 87/95, 120/23, 594/497?
Answer: GCF of Numerators as per given numbers 87/95, 120/23, 594/497 is
GCF of Numerators i.e. for 87,120,594 is 3
LCM of denominators i.e. for 95,23,497 is 1085945.
Thus, GCF of Fractions is 3/1085945.Finally, GCF of Fractions for 87/95, 120/23, 594/497 is 3/1085945.